幾何
三角形、円、座標幾何、証明問題。
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3. are the below triangles congruent? * yes by sss yes by sas yes by as…
Yes by AAS
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2. are the below triangles congruent? * yes by sss yes by sas yes by as…
Yes by HL
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1. are the below triangles congruent? * yes by sss yes by sas yes by as…
Yes by ASA
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triangle congruence criteria score: 14/15 penalty: none question determ…
The two triangles are related by **SAS (Side-Angle-Side) congruence**, so the triangles can be proven congruent.
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triangle congruence criteria score: 13/15 penalty: none question determ…
The two triangles are related by **AA (Angle-Angle) similarity** (all corresponding angles are congruent), so the triangles **cannot be proven congruent** (no corresponding congru…
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triangle congruence criteria score: 13/15 penalty: none question determ…
The two triangles are related by **AA (Angle-Angle) similarity** (all corresponding angles are congruent), so the triangles **cannot be proven congruent** (no corresponding congru…
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triangle congruence criteria score: 13/15 penalty: none question determ…
The two triangles are related by **a rigid transformation (congruent via SAS criterion)**, so the triangles **can be proven congruent (SAS congruence)**.
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determine the relationship between the two triangles and whether or not…
The two triangles are related by a rigid transformation (rotation/reflection), so the triangles can be proven congruent by the ASA (Angle-Side-Angle) congruence postulate.
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question find $m\\angle jlk$. answer attempt 1 out of 2 $m\\angle jlk =…
$60^\circ$
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question find the measure of $overline{lm}$. answer attempt 1 out of 2 …
$10\sqrt{10}$ (or approximately 31.62 if a decimal is needed)
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question find $m\\angle qrp$. answer attempt 1 out of 2 $m\\angle qrp =…
$34^\circ$
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find $m\\angle wvx$. answer $m\\angle wvx = \\square$
$71.5^\circ$
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find $m\\angle gfe$. answer attempt 1 out of 2 $m\\angle gfe = \\square…
$106^\circ$
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question find $m\\angle qrp$. answer attempt 1 out of 2 $m\\angle qrp =…
$34^\circ$
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properties of isosceles triangles (assignment) score: 0/10 points: 0% q…
$98^\circ$
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question find $m\\angle lkj$. answer $m\\angle lkj = $
$60^\circ$
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determine the relationship between the two triangles and whether or not…
The two triangles are related by a rigid transformation (rotation/reflection), so the triangles can be proven congruent by the ASA (Angle-Side-Angle) congruence postulate.
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13 ft.12 ft.13 ft.10 ft.10 ft.which diagram is a net for this prism?13 …
Correct net: The first (left) diagram Surface area: 480 square feet
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(lesson 18.2) find each product. (1 point each) 15. $(3 - 2v)(2 - 5v)$ …
15. $10v^2 -19v +6$ 16. $15x^3 -7x^2 -29x +20$ 17. $x^2 +10x$
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graph each equation. 9) $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertically elongated oval shape passi…
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1) a triangular prism is shown below. 5 mm 4 mm 5 mm 6 mm 9 mm 1) which…
The second diagram (right-side diagram) is the net for the prism. --- ### Part 2: Calculate the lateral area
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22) in the diagram, are $overleftrightarrow{ac}$ and $overleftrightarro…
22) $\overleftrightarrow{AC}$ and $\overleftrightarrow{DF}$ are parallel. The supplementary angle of $143^\circ$ is $37^\circ$, which matches the given angle, proving correspondin…
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find the value of $x$ that makes $m \\parallel n$. explain your reasoni…
1. For problem 4: $x = 15$ 2. For problem 5: $x = 55$ 3. For problem 8: $x = 20$
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the graph shows triangles rst and rst. which of the following transform…
reflection across the x-axis
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1. $\\angle 1$ is supplementary to $\\angle 2$.2. $m\\angle 1 + m\\angl…
1. Given 2. Definition of supplementary angles 3. Given 4. Definition of congruent angles 5. Definition of congruent angles 6. Substitution Property of Equality 7. Definition of s…
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the graph shows triangles bcd and bcd. which of the following transform…
rotation $180^\circ$ around the origin
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the area of the figure to the right is $(x+5)(x+6)$. find another expre…
$x^2 + 11x + 30$
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find the missing length in each right triangle. then determine the slop…
### Problem 18 Missing length: $8$ Slope of hypotenuse: $\frac{8}{15}$ ### Problem 19 Missing length: $4$ Slope of hypotenuse: $\frac{2}{5}$ ### Problem 20 Missing length: $7$ Slo…
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go find the slope of each line. 15. slope: 16. slope: 17. slope:
15. Slope: $\frac{4}{3}$ 16. Slope: $-\frac{1}{4}$ 17. Slope: $-1$
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keeping inequalities which of the number lines represents the solution …
A. (Number line with open circle at -12, arrow pointing right to higher values)
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name 6-1 additional practice rational exponents and properties of expon…
1. $7^{\frac{1}{3}}$ 2. $10^{\frac{5}{9}}$ 3. $a^{-\frac{3}{2}}$ 4. $b^{\frac{9}{4}}$ 5. $x=\frac{84}{5}$ 6. $x=6$ 7. No solution 8. $x=-\frac{54}{5}$ 9. $x=\frac{9}{5}$ 10. $x=3$…
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find the perimeter of the parallelogram. the perimeter is (type an inte…
20
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2. kim drew the diagram below. her hypothesis was that $angle abc$ and …
∠ABC and ∠CBD are supplementary
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1. which term can be used to accurately describe the relationship betwe…
C. complementary
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5. which angle measures could be vertical angles?$47^\\circ$ & $53^\\ci…
C. $47^\circ$ & $47^\circ$
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4. in the figure below, which is a vertical angle to $angle ebf$?$angle…
$\angle IBA$
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sketch the graph of the following circle.$(x-4)^2 + (y-5)^2 = 64$(a) fi…
(a) $(4, 5)$ (b) $8$ (c) A circle with center $(4, 5)$ and radius 8, plotted on a coordinate plane.
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3. in the figure below, which angle is complementary to $angle 4$?$\big…
$\boldsymbol{\angle 5}$ (Option: $\boldsymbol{\angle 5}$)
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identify the y-intercept (-3, 0) (0,-3) -3
(0, -3)
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question what is the volume of a hemisphere with a radius of 3 cm, roun…
$56.5$ cm³
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identify the x-intercept(s) (-1, 0) (5, 0) & (-1, 0) (-1, 0) & (0, 1) (…
B. (5, 0) & (-1, 0)
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score: 2/5 penalty: 1 off question what is the volume of a hemisphere w…
$7295.5$ ft³
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introduction to compound inequalities the weight of a box of cereal can…
The fourth graph (with open circles at 17.75 and 18.25, and arrows extending left from 17.75 and right from 18.25) represents the possible weights of boxes that cannot be sold as …
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or the graphs below: 15. let b = 1 vertex: __________ h: ______ k: ____…
Vertex: $(-2, 0)$ h: $-2$ k: $0$ Point: $(1, 3)$ x: $1$ y: $3$ *(Note: Other valid points on the graph include $(-4, 2)$, $(0, 2)$, etc.)*
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special right triangles quiz given that $ab = 6$ (1) find the length of…
(1) $3$ (2) $3\sqrt{3}$ (3) $8\sqrt{3}$ (4) $16\sqrt{3}$ (5) $12$ (6) $12\sqrt{2}$
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3 use the figure below to answer the questions. find the measure of eac…
1. $m\angle AXB = 50^\circ$, Acute 2. $m\angle DXA = 90^\circ$, Right 3. $m\angle AXG = 180^\circ$, Straight 4. $m\angle BXF = 90^\circ$, Right 5. $m\angle CXG = 110^\circ$, Obtus…
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30°-60°-90° theorem complete the sentence: in a 30°-60°-90° triangle, t…
### Completed Sentences: 1. In a $30^\circ$-$60^\circ$-$90^\circ$ triangle, the hypotenuse is **2 times** the short leg. 2. In a $30^\circ$-$60^\circ$-$90^\circ$ triangle, the lon…
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special right triangles (30-60-90)find the missing side lengths. leave …
1) Short leg: $8$, Long leg: $8\sqrt{3}$ 2) Hypotenuse: $4$, Long leg: $2\sqrt{3}$ 3) Hypotenuse: $16$, Long leg: $8\sqrt{3}$ 4) Short leg: $4\sqrt{5}$, Long leg: $4\sqrt{15}$ 5) …
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use the graph at the right. find the vertices of the image of qrtw for …
$Q'=(20, 40)$, $R'=(-10, 10)$, $T'=(30, -30)$, $W'=(50, 50)$
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the measure of minor arc jl is $60^{\\circ}$. what is the measure of an…
B. 120°
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special right triangles (45-45-90)name__________ id____date__________ b…
1) $\boldsymbol{8\sqrt{2}}$ 2) $\boldsymbol{7}$ 3) $\boldsymbol{4\sqrt{2}}$ (correct as written) 4) $\boldsymbol{6\sqrt{2}}$ (correct as written) 5) $\boldsymbol{5\sqrt{2}}$ (corr…
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angle g is a circumscribed angle of circle e. major arc fd measures $28…
40°
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points e, f, and d are on circle c, and angle g measures $60^{\\circ}$.…
- $\angle EFD \cong \angle EGD$ - $m\overset{\frown}{FD} = 120^\circ$
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in the following figure, the smaller triangle is the image of the large…
Scale factor = $\frac{3}{4}$, $x = 9$, $y = \frac{15}{2}$
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points a, b, c, and d lie on circle m. line segment bd is a diameter. w…
112.5°
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what is the measure of circumscribed $angle x$?○ $45^circ$○ $50^circ$○ …
90° (Option C: $90^\circ$)
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major arc jl measures 300°. which describes triangle jlm? ○ right ○ obt…
equilateral
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angle bcd is a circumscribed angle of circle a. angle bca measures 40°.…
100°
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in the following figure, the smaller triangle is the image of the large…
Scale factor = $\frac{3}{4}$, $x = 9$, $y = \frac{15}{2}$
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points n and r both lie on circle o. line segment rq is tangent to the …
15.0 units
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what is the measure of angle coa? 140° 150° 160° 170°
160°
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angle bcd is a circumscribed angle of circle a. what is the length of l…
10 units
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find the circumference of $odot c$. round your answer to the nearest hu…
47.12
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applying angle relationships to find perimeter what is the perimeter of…
38 units
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proving congruent triangles using angles of circles given: $angle aob$ …
First blank: all radii of the same circle are congruent Second blank (congruence rule): SSS (Side-Side-Side) congruence postulate
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part 1 of 3 in the following figure, the smaller triangle is the image …
Scale factor = $\frac{1}{2}$ $x = 4$ $y = 5$
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determining unknown angle measures what is the measure of angle oac if …
55° (Option A)
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attending to precision use the diagram to complete the statement. $m\\a…
$119$
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which statements are true? check all that apply.□ the circumscribed ang…
The circumscribed angle L has a measure of 49°. If the measure of arc HJ is 98°, the measure of angle HMJ is 98°. If the measure of arc HJ is 98°, the measure of arc HK is 131°.
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mathematical connections find the value of $n$ that makes $\\triangle d…
$n=3$
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what is the value of k?
113°
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listen the longest side of a triangle similar to $\triangle xyz$ is 39 …
The other side lengths are 30 units and 36 units.
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what is the value of k? 31° 46°
77
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analyzing central and circumscribed angles what is the measure of angle…
B. $71^\circ$
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listen the shortest side of a triangle similar to $\triangle xyz$ is 20…
24 units and 26 units
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given: abcd is a trapezoid.$overline{ba} cong overline{cd}$prove: $over…
### Next Statement & Reason: 5. $\boldsymbol{\triangle BAD \cong \triangle CDA}$ 5. $\boldsymbol{SAS}$ ### Final Completed Proof Step: 6. $\boldsymbol{\overline{BD} \cong \overlin…
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practice relating inscribed, central, and circumscribed angles of a cir…
- $m\widehat{CB} = 120^\circ$ - $m\angle COB = 2(m\angle CAB)$ - $m\angle COB = 120^\circ$
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15. $x = \\underline{\\quad\\quad}$ $y = \\underline{\\quad\\quad}$ $z …
15. $x=14\sqrt{2}$, $y=14\sqrt{3}$, $z=14$ 16. $x=16$, $y=16\sqrt{2}$, $z=16\sqrt{2}$ 17. $x=26\sqrt{3}$, $y=13\sqrt{3}$, $z=39\sqrt{2}$ 18. $x=\frac{10\sqrt{6}}{3}$, $y=10\sqrt{2…
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which angles are complementary to $angle2$? select all that apply. $ang…
∠3, ∠5
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synthesis 8. describe a strategy for determining an unknown dimension o…
1. List known values and the unknown dimension. 2. Choose the correct volume formula for the shape. 3. Rearrange the formula to isolate the unknown. 4. Substitute known values and…
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which angles are vertical to each other? select all that apply.$angle3$…
∠3 and ∠7, ∠2 and ∠4
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** this is a 2-page document! ** directions: find the value of each var…
Triangle 6: $x=50$, $y=25$ Triangle 8: $x=16\sqrt{3}$, $y=8\sqrt{3}$ Triangle 9: $x=11\sqrt{3}$, $y=33$ Triangle 10: $x=3\sqrt{2}$, $y=2\sqrt{6}$ Triangle 12: $x=12\sqrt{7}$, $y=8…
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find the midpoint m of the line segment joining the points $s = (-7, -2…
$M=(-4, 3)$
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17. proof copy and complete the flowchart proof. then write a two-colum…
$\boldsymbol{\angle 2 \cong \angle 4}$ is proven as shown above.
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9. $|x - 3| - 2 > -1$
$x < 2$ or $x > 4$ (On a number line: open circles at 2 and 4, shade to the left of 2 and to the right of 4)
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which angles are adjacent to $angle 5$? select all that apply.$angle 6$…
∠6, ∠8
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which angles are adjacent to each other?$angle 1$ and $angle 3$$angle 4…
$\boldsymbol{\angle1 \text{ and } \angle2}$
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error analysis in exercises 15 and 16, describe and correct the error i…
The error was incorrectly classifying vertical angles as supplementary (summing to \(180^\circ\)). Vertical angles are equal, so the correct equation gives \(x = 7\).
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which angle is complementary to $angle2$?$angle1$$angle3$$angle5$$angle…
$\angle 3$
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find the angle that is vertical to $\\angle rjm$. which angle is vertic…
A. $\angle UJF$
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coloring activity!date: _______________ per: ____directions: a-c are pa…
### Part A $m\angle B = 81^\circ$ $m\angle C = 93^\circ$ ### Part B $m\angle P = 132^\circ$ $m\angle Q = 48^\circ$ ### Part C $VZ = 17$ $XZ = 34$ ### Part D $m\angle EGF = 23^\cir…
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$v = b^{2}/4 (\\frac{h}{2})$$v=132^{2}×x=17424$$a=88×17424=17512$$sa=88…
15 cm
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27) $\triangle abc sim \triangle def$. which statement(s) are correct? …
A. $\frac{BC}{EF} = \frac{AC}{DF}$, D. $\frac{CA}{FD} = \frac{BC}{EF}$
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what is the measure of this angle? choose the best estimate.$45^circ$$1…
C. $10^\circ$
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spiral review find the unknown measure of the rectangle. area = 90 sq f…
10 ft
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24) the polygons are similar. a) original perimeter = 66 ft. $k = \\fra…
a) 49.5 ft b) 13.6 in
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23) the polygons are similar. find the area of the other figure. a) old…
a) $90 \text{ cm}^2$ b) $4 \text{ in}^2$
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1. 8.5 ft 8.5 ft
72.25 pies cuadrados ($\text{ft}^2$) *(Nota: Si se hubiera solicitado el perímetro, sería $P=4l=4\times8.5=34$ ft, pero por defecto, para figuras geométricas con lados dados, el c…
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which of the following shapes are trapezoids? choose 2 answers: a b c
A. The quadrilateral with one slanted side and parallel horizontal sides B. The quadrilateral with parallel top and bottom sides
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what is the measure of this angle? choose the best estimate.$80^{circ}$…
80°